257007 has 4 divisors (see below), whose sum is σ = 342680. Its totient is φ = 171336.

The previous prime is 257003. The next prime is 257017. The reversal of 257007 is 700752.

It is a semiprime because it is the product of two primes.

It is not a de Polignac number, because 257007 - 2² = 257003 is a prime.

It is a D-number.

It is a Duffinian number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 257007.

It is not an unprimeable number, because it can be changed into a prime (257003) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 42832 + ... + 42837.

It is an arithmetic number, because the mean of its divisors is an integer number (85670).

2²⁵⁷⁰⁰⁷ is an apocalyptic number.

257007 is a deficient number, since it is larger than the sum of its proper divisors (85673).

257007 is an equidigital number, since it uses as much as digits as its factorization.

257007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85672.

The product of its (nonzero) digits is 490, while the sum is 21.

The square root of 257007 is about 506.9585781896. The cubic root of 257007 is about 63.5791890298.

Adding to 257007 its reverse (700752), we get a palindrome (957759).

The spelling of 257007 in words is "two hundred fifty-seven thousand, seven".